Title of article
Characterizations of Dichotomies of Evolution Equations on the Half-Line
Author/Authors
Nguyen Van Minh1، نويسنده , , Nguyen Thieu Huy، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2001
Pages
17
From page
28
To page
44
Abstract
In this paper we investigate the characterization of dichotomies of an evolution
family = U t s t≥s≥0 of bounded linear operators on Banach space X. We introduce
operators I0 and IX on subspaces of Lp R
+
X using the integral equation
u t = U t s u s + t
s U t ξ f ξ dξ. The exponential and ordinary dichotomies
of are characterized by properties of I0 IX.
Keywords
Evolution equations , ordinary dichotomy , Exponential dichotomy , Evolution family , Integral equation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2001
Journal title
Journal of Mathematical Analysis and Applications
Record number
933235
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